Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₁₀

Direct product G=N×Q with N=D₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×D₁₂		120		C10xD12	240,167

Semidirect products G=N:Q with N=D₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₁₀ = C₅×D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₂	120	2	D12:1C10	240,52
D₁₂⋊₂C₁₀ = C₅×D₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₂	120	4	D12:2C10	240,60
D₁₂⋊₃C₁₀ = C₅×S₃×D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₂	60	4	D12:3C10	240,169
D₁₂⋊₄C₁₀ = C₅×Q₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₂	120	4	D12:4C10	240,172
D₁₂⋊₅C₁₀ = C₅×C₄○D₁₂	φ: trivial image	120	2	D12:5C10	240,168

Non-split extensions G=N.Q with N=D₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₁₀ = C₅×C₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₂	120	2	D12.1C10	240,51
D₁₂.₂C₁₀ = C₅×Q₈⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₂	120	4	D12.2C10	240,62

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